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Finding the Fourth Proportional to 75,834.96, 113,739.48 and 20,418

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Solution

The fourth proportional to 75,834.96, 113,739.48 and 20,418 is: 30,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,834.96 : 113,739.48 = 20,418 : x
  2. Step 2: Convert to fraction form
    75,834.96/113,739.48 = 20,418/x
  3. Step 3: Cross multiply
    75,834.96x = 113,739.48 × 20,418
  4. Step 4: Simplify right side
    75,834.96x = 2,322,332,702.64
  5. Step 5: Solve for x
    x = 2,322,332,702.64/75,834.96
  6. Step 6: Final answer
    x = 30,623.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.